Electric Field Calculation for Composite Dielectrics by a Curved Surface Charge Method with Non-conforming Charge Representation

Abstract

This paper describes an improved surface charge method (SCM) that analyzes the electric field in composite dielectrics in a three-dimensional (3D) arrangement. In this SCM, curved boundary surfaces are represented by third-order shape representation functions, and surface charge density distributions on the surfaces are expressed by non-conforming first-order charge representation functions. This type of SCM realizes natural treatment of curved surfaces, and also numerically stable treatment of edge parts of the shapes and triple junctions of different materials without any additional modifications. Two benchmark-test calculations are carried out to confirm the validity of the proposed method. It has also been applied to field analysis for a real 3D dielectric support of a high voltage feed line.